Answer:
When x = 72, the z score is:
The average is 58
This z-score indicates that x= 72 is 1.273 standard deviations above the mean.
Step-by-step explanation:
Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.
Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is
In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:
The formula for the z score is as follows:
By substituting values, we derive:
The mean is 58
This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.
IX - 4I ≤ 4
Step-by-step explanation:
The number line indicates that the possible values of x fall within the range:
0 ≤ x ≤ 8
We aim to create an absolute value equation to encompass this set of potential solutions.
An example of such an equation is:
IX - 4I ≤ 4
To form this, we find the midpoint M of our set, which is 4 in this case.
Then, we write:
Ix - MI ≤ IMI
It's important to note my use of the inclusive sign, as the filled dots indicate that the endpoints x = 0 and x = 8 are part of the solution, differing from empty dots which denote an open set requiring < > signs.
Answer:
2.1 miles
Step-by-step explanation:
Refer to the attached illustration (you need to include all the mentioned locations and the distances between them),
enabling us to create a right triangle between the school and the hospital with side measures of: 1.7 and 1.2 miles
and the green line represents the direct path from the school to the hospital; thus, applying the Pythagorean theorem will yield the result:
When rounded to the nearest tenth:
2.1 miles
The dimensions of the book cover are 28.3 centimeters in length and 21 centimeters in width. Calculate the range of values for both the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, thus 28.25 cm ≤ length < 28.35 cm.
Hope this information is helpful!
Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.
